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Finding the Third Proportional to 506,296 and 1,113,640

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Solution

The third proportional to 506,296 and 1,113,640 is: 2,449,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,296 : 1,113,640 = 1,113,640 : x
  2. Step 2: Convert to fraction form
    506,296/1,113,640 = 1,113,640/x
  3. Step 3: Cross multiply
    506,296x = 1,113,640 × 1,113,640
  4. Step 4: Simplify right side
    506,296x = 1,240,194,049,600
  5. Step 5: Solve for x
    x = 1,240,194,049,600/506,296
  6. Step 6: Final answer
    x = 2,449,543.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.